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Volumn 44, Issue 12, 2002, Pages 1557-1565

Certain operators of fractional calculus and their applications to differential equations

Author keywords

Analytic (regular) functions; Differintegral equations; Differintegral operators; Fractional calculus; Generalized Leibniz rule; Homogeneous and nonhomogeneous equations; Index law; Linear (ordinary and partial) differential equations; Linearity property

Indexed keywords

LINEAR EQUATIONS; PROBLEM SOLVING; SET THEORY; THEOREM PROVING;

EID: 0036904121     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(02)00278-X     Document Type: Article
Times cited : (4)

References (15)
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    • Podlubny, I.1
  • 3
    • 0012072325 scopus 로고    scopus 로고
    • Operators of fractional integration and their applications
    • H.M. Srivastava and R.K. Saxena, Operators of fractional integration and their applications, Appl. Math. Comput. 118, 1-52, (2001).
    • (2001) Appl. Math. Comput. , vol.118 , pp. 1-52
    • Srivastava, H.M.1    Saxena, R.K.2
  • 4
    • 0001753227 scopus 로고    scopus 로고
    • Some families of ordinary and partial fractional differintegral equations
    • S.-T. Tu, D.-K. Chyan and H.M. Srivastava, Some families of ordinary and partial fractional differintegral equations, Integral Transform. Spec. Funct. 11, 291-302, (2001).
    • (2001) Integral Transform. Spec. Funct. , vol.11 , pp. 291-302
    • Tu, S.-T.1    Chyan, D.-K.2    Srivastava, H.M.3
  • 5
    • 0012040989 scopus 로고    scopus 로고
    • Explicit solutions of certain ordinary differential equations by means of fractional calculus
    • S.-D. Lin, S.-T. Tu and H.M. Srivastava, Explicit solutions of certain ordinary differential equations by means of fractional calculus, J. Fract. Calc. 20, 35-43, (2091).
    • (2001) J. Fract. Calc. , vol.20 , pp. 35-43
    • Lin, S.-D.1    Tu, S.-T.2    Srivastava, H.M.3
  • 7
    • 0000796387 scopus 로고    scopus 로고
    • Solutions of a certain class of fractional differintegral equations
    • S.-T. Tu, S.-D. Lin, Y.-T. Huang and H.M. Srivastava, Solutions of a certain class of fractional differintegral equations, Appl. Math. Lett. 14 (2), 223-229, (2001).
    • (2001) Appl. Math. Lett. , vol.14 , Issue.2 , pp. 223-229
    • Tu, S.-T.1    Lin, S.-D.2    Huang, Y.-T.3    Srivastava, H.M.4
  • 8
    • 0001744387 scopus 로고    scopus 로고
    • Solutions of a class of ordinary and partial differential equations via fractional calculus
    • S.-T. Tu, S.-D. Lin and H.M. Srivastava, Solutions of a class of ordinary and partial differential equations via fractional calculus, J. Fract. Calc. 18, 103-110, (2000).
    • (2000) J. Fract. Calc. , vol.18 , pp. 103-110
    • Tu, S.-T.1    Lin, S.-D.2    Srivastava, H.M.3
  • 15
    • 0012040106 scopus 로고
    • Some generalized ordinary and partial differential equations of Fuchs type via fractional calculus method
    • S.-T. Tu, S.-D. Lin and K. Nishimoto, Some generalized ordinary and partial differential equations of Fuchs type via fractional calculus method, J. Fract. Calc. 5, 45-58, (1994).
    • (1994) J. Fract. Calc. , vol.5 , pp. 45-58
    • Tu, S.-T.1    Lin, S.-D.2    Nishimoto, K.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.